{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Power Splitter Demo\n",
    "\n",
    "This is an introductory demo for using angler for inverse design.   \n",
    "\n",
    "Here we will walk through designing a 50-50 power splitter.\n",
    "\n",
    "## Setup\n",
    "\n",
    "We'll first import all of the packages we need and set up our notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "import copy\n",
    "\n",
    "# add angler to path (not necessary if pip installed)\n",
    "import sys\n",
    "sys.path.append(\"..\")\n",
    "\n",
    "# import the main simulation and optimization classes\n",
    "from angler import Simulation, Optimization\n",
    "\n",
    "# import some structure generators\n",
    "from angler.structures import three_port, two_port, N_port\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's define some of the parameters we'll be using in our optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# define the similation constants\n",
    "lambda0 = 2e-6              # free space wavelength (m)\n",
    "c0 = 3e8                    # speed of light in vacuum (m/s)\n",
    "omega = 2*np.pi*c0/lambda0  # angular frequency (2pi/s)\n",
    "dl = .5e-1                   # grid size (L0)\n",
    "NPML = [20, 20]             # number of pml grid points on x and y borders\n",
    "pol = 'Ez'                  # polarization (either 'Hz' or 'Ez')\n",
    "source_amp = 1e-9           # amplitude of modal source (make around 1 for nonlinear effects)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# define material constants\n",
    "n_index = 2.44              # refractive index\n",
    "eps_m = n_index**2          # relative permittivity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# geometric parameters for a 1 -> 2 port device\n",
    "N = 4\n",
    "L = 10         # length of box (L0)\n",
    "H = 10         # height of box (L0)\n",
    "w = .4        # width of waveguides (L0)\n",
    "d = 2      # distance between waveguides (L0)\n",
    "l = 10         # length of waveguide from PML to box (L0)\n",
    "spc = 3       # space between box and PML (L0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the Simulation Object\n",
    "Now, we can create an initial relative permittivity, define our design region, and create the `Simulation` object for our domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computed a domain with 640 grids in x and 360 grids in y\n",
      "The simulation has 40 grids per free space wavelength\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbgAAAEoCAYAAAAqrOTwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAADrBJREFUeJzt3XuMbWdZB+Dfe6Cl1kC4HKQQkANKoKCi6URRsBKDsVyEgMYAabkUuQgohj8kNBgh4RIbJJqI4qEUikCQixBBERIMJYig53BLFWlQiqCAnBKClEJtz+sfe58wHntZM+w9e83X50l2Zu89861v7WbO/Pp+l7WquwMAozmw6RMAgHUQcAAMScABMCQBB8CQBBwAQxJwAAxJwAEwJAEHwJAEHABDuuWmTwCAzauqdVzW6r3dfc4ajjuJCg6AdTm4yc5VcAAkSapqpcfb9LWOBRwASQQcAINadcBtmoADIFWVAwdWuyzjuuuuW+nxdkrAAZBEBQfAoAQcAEMScAAMScABMJyqEnAAjGnVqyg3baxPAwBLKjgAkpiDA2BQAg6A4VhkAsCwBBwAQxJwAAxptG0CAg4Ac3AAjEvAATAkAQfAkAQcAEMScAAMp6qsogRgTCo4AIYk4AAY0mgBN9aAKwAsqeAAcCUTAMYl4AAYkm0CAAxJBQfAcMzBATAsAQfAkAQcAEO6WS8yOXjwYB86dGhNpwLAVFdccUWOHTu2spLrZj8Hd+jQoRw5cmRd5wLARFtbWys/5s064AAY1816iBKAcangABiOG54CMCwVHABDGi3gxqpHAWBJBQeAOTgAxjXaEKWAAyCJfXAADEoFB8BwzMEBMKy9ruCq6mNJvrF8+bnufvIqjy/gAEiytwFXVaclqe5+8Lr6EHAAbGKI8v5JTq+q92WRRRd090dW2YGAAyDJWiq4g1W1/R5rh7v78PL5t5K8PMlFSe6V5D1Vde/uvnZVnQs4AJKsZZvAse6+oRvXXZ7ks93dSS6vqiuT3DnJF1bVuYADIMmeLzI5P8mPJnlmVd0lyW2SfGmVHQg4AFJVex1wr0nyuqr6UJJOcv4qhycTAQfA0l4uMunua5I8fp19CDgAkriSCQADGvFKJmN9GgBYUsEBkMQQJQCDEnAADGm0OTgBB8Am9sGtnYADIIkKDoBBqeAAGM6I++AEHABJVHAADErAATAkAQfAcGwTAGBYAg6AIQk4AIYk4AAY0mgBN9auPgBYUsEB4EomAIxrtCFKAQdAEgEHwKAEHDcLo/2i35x096ZPgX3IlUwAGJaAA2BIAg6AIQk4AIYk4AAYjkUmAAxLwAEwJAEHwJAEHABDEnAADGfERSZj3RsBAJZUcAAkMUQJwKAEHABDEnAADGmOAVdVp3b3NbtpK+AAmPMqyiNV9bdJLuruy3bSUMABkGSeFVySH09yTpLfrao7JnlDkjd39zdvqqFtAgAk+W4Vt6rHKnT38STvSXJxkiuT/EaS91bVs2+qrQoOgCTzrOCq6sIkj0pyaZLf6+5/qKoDSY4m+aMbayvgYDBz/CPF/jDT353Lk5x1Ykiyqm7b3V+vqkffVEMBB8DsFplU1RlJbpPk15JcWouTO5Dk9Ul+sruvuKljCDgAksyugntAkuckuXeSw8v3jid579QDCDgAkiQHDsxn3WF3vzPJO6vqYd3917s5hoCDwXT3pk+BPbC1tbXyY26igquqH8hiwcgvdPe/bHv/Bd394iTnVdW529t09+OnHFvAAbCRObiqOiXJnya5+nq+/a7l11ft9vjzqUcB2KgN7IN7eRYB9p8nf6O7P7l8+vtJ7pfk4919aXdfOvXzCDgA1uVgVR3Z9njaiW9U1ZOSfLW7b2rRyMOTnJ7k/VX1uqp64NTODVECkGQtc3DHuvuGJgvPT9JV9ZAsLsf1+qp6ZHd/efsPdfdXkry8qt6S5MIshi5vP6VzAQdAkr1dZNLdZ2/r9wNJnnFyuC2/94QkT0xyiywu1/XkqX0IOACSzG4f3An3T/Ks7SsspxJwAGz0Sibd/eCT36uqR3T3u7O4VNfZVXX2tp8/fPLPXx8BB0CS2VVwd1h+PeOk9ydv9BRwACSZV8B19yXLp9ctN3wnSarqZVOPIeAASDKvgKuqp2RxoeUzq+phy7cPJDk1yfOnHEPAAZCqmtW1KLO4c/f7k1yQ5CXL944n+a+pBxBwACSZVwXX3d9JckVVXdPdnz/xflW9PskTphxDwAGQZF4BV1XPSvKCJLerqsckqeXjn6YeQ8ABkGReAdfdr0zyyqq6oLtfuptjCDgAkswr4Lbtg7ty+zUsE/vgANiBTW70vgH2wQGwGnMKuG374F6S5L5JTtvpMQQcDGZOf6TYX2b6u/NXWex9+/rydSd5zJSGAg6AOTutu39uNw0FHABJZlvBfbCqfjHJp0+80d3/PqWhgAMgyWwD7k5J/iD/d4jyZ6Y0FHAAzPFSXSfcp7vP3E1DAQeD6Z68ipp9bGtra+XHnGkF96mqekCSj2e5RaC7r5nSUMABkGS2AXd2kodnEW61/HrPKQ0FHABJZhtwF3b3G3bTcJYDrgDsrRNXMlnlY0WeutuGKjgAksy2grtVVX08yWeyuB9cuvvxUxoKOACSzDbgnrfbhjsKuKNHj871PwAA36OZ/n3/WBYhd5ck707yqakNzcEBkGT183ArcnGSf0tyryRfTvKaqQ0FHABzXmRyh+6+OMn/dPeHs4PcMgcHQJLM9Uomqar7LL/eNcm1U9sJOACSzHYO7jeTvDbJmUneluSZUxvuKODOOuusHDlyZGenxr400190YI3m+O++uy+rqkcm+aEkl3f316a2nWc9CsCemuscXFU9M8nfZbGS8u+r6typbQ1RAjBnT03yY9397ao6PcmlSSZdukvAAZBktotMvpLvLiy5OsmVUxsKOACSzHMOLouptE9U1YeT/ESSU6rqTclNX7JLwAGQZLYB95Jtz9+4k4YCDgYz0z9SzNyKN2evTHdfutu2Ag6AJOP9z5GAAyDJbBeZ7JqAA2C2Q5RV9SNJ/iTJ7bLYHnBZd797Stux4hqAXZvjRu8kf5jkyUm+msWdBF44taEKDgbT3Zs+BfbA1tbWyo85xwouSbr7s1XV3f3Vqvrvqe0EHABJZjsH97WqenqS76+qxyb5+tSGs/w0AOytuV6LMslTktwjybEkW8vXk6jgAEgy2yHKFyV5dXf/804bCjgAksw24D6U5MKqunUW94X78+6+ekpDQ5QAJJnnKsrufnt3PyLJY5Ock+RLU9uq4ABIVc1ykUlV/WCSJyb55SQfS/LQqW0FHABz9vYkFyU5u7u/sZOGAg6AJPOag6uqu3b3F5Ocm6STnFFVZyRJd18+5RgCDoAk8wq4JM9dPl510vud5OenHEDAAZBkbwOuqm6R5NVJ7p1FaD2juy878f3ufu7y6Su6+13b2v3q1D4EHACbWGTyS0nS3Q+sqgdncWPTR207n0ckeWCSx1XVTy/fPrD8mbdM6UDAAZBkbyu47n5nVZ24K8Dd8/8vwfXJJHdIcnWSzyzfO57kzVP7EHAAJFlLwB2sqiPbXh/u7sMnXnT3tVV1SZJHJ/mV7Q27+wtJLqmqP+vu49vO8c5TOxdwACRZS8Ad6+4bve1Bdz+xqp6X5KNVdd/uvuqkH3lhVf16klOTnJ7k8iT3m9L5/Hb1AbARe3klk6o6r6qev3z5rSyGH49fz48+Msldk7wxyZlJ/mPq51HBAbCJRSZ/keS1VfXBJKck+a0buMbkl7r7O1V16+V94U6d2oGAAyDJni8yuSrJlCX/X6yq85NcVVUvS3LbqX0IOBjMzDbrso/M9Hfn6UnuluStSZ6U5HFTGwo4AJLMK+Cq6mnX8/Z3kvxskk9POYaAA2COdxOYvB3ghgg4AJLMq4Lr7hedeF5VD0lyzyQfyWKbwCQCDgbT3Zs+BfbA1taNbi8bRlW9NIttAmdmMUT5/Eych5tVPQoAJ3lQdz8hyTe7+5Ik95jaUAUHQJJ5DVFuc8uqOi1JL+9AcN3khus7JwD2k5kG3CuSHE1yxyQfXb6eRMABMOnyWhtyZZIHJfnhJJ/r7mNTGwo4AJLMtoJ7UXefneQfd9pQwAGQZLYB11X1jizuCXc8Sbr7gikNBRwASWYbcBfvtqGAAyDJPANuuTVgV+yDA2BIKjgA5ryKctcEHABJ5jlE+b0QcAAkEXAADErAATAkAQfAcCwyAWBYowWcfXAADEnAATAkQ5QAJBlviFLAcb26e9OnAOwxAQfAkAQcAMOxTQCAYQk4AIYk4AAYkoADYEijBZyN3gAMSQUHgFWUAIxLwAEwJAEHwJAEHABDGi3grKIEYEgqOACGXEWpggNgSCo4AJKMNwcn4ABIMl7AGaIEYEgqOACSjFfBCTgAkgg4AAZkmwAA7BMqOACS7O0QZVWdkuTiJIeS3CrJi7v7L1fZh4ADIMmez8Gdm+TK7j6vqm6f5BNJBBwA+95bk7xt+bySXLvqDgQcAEnWUsEdrKoj214f7u7DSdLd31z2eessgu4Fq+5cwAGQZC0Bd6y7t26kv7sleUeSP+7uN626cwEHwJ5vE6iqOyV5X5Jnd/f719GHbQIAbMIFSW6X5Heq6gPLx/etsgMVHAB7rrufk+Q56+xDwAGQxKW6ABiUgANgSKMFnEUmAAxJBQdAkvEqOAEHgNvlAMB+oYIDIIkhSgAGJeAAGNJoAWcODoAhqeAASDJeBSfgALBNAAD2ix1VcEePHj1WVZ9f18kAMNndN30Cc7ejgOvuO67rRADYrNGGKM3BAZBkvIAzBwfAkFRwACRRwQHAvqCCA8A+OADYL1RwACQxBwcA+4IKDoAkKjgA2BdUcAAkUcEBwL6gggMgiQoOAPYFAQfAkAxRAuBSXQCwXwg4AIZkiBKAJFZRAsC+oIIDIIkKDgD2BRUcAElUcACwL6jgAEiiggOAfUEFB4BLdQHAfqGCAyCJOTgA2BcEHABDEnAAJPnuQpNVPSb2+VNV9YF1fB5zcABsRFX9dpLzkly1juOr4ABIspEK7l+TPGZtn6e713VsAPaJqvqbJAdXfNjTknx72+vD3X34pH4PJXlzdz9gxX0bogQg6e5zNn0Oq2aIEoAhCTgAhmQODoAhqeAAGJKAA2BIAg6AIQk4AIYk4AAYkoADYEgCDoAhCTgAhvS/Br6mmuel9FQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define permittivity of three port system\n",
    "eps_r, design_region = N_port(N, L, H, w, d, l, spc, dl, NPML, eps_m)\n",
    "(Nx, Ny) = eps_r.shape\n",
    "nx, ny = int(Nx/2), int(Ny/2)            # halfway grid points\n",
    "\n",
    "# make a new simulation object\n",
    "simulation = Simulation(omega, eps_r, dl, NPML, pol)\n",
    "\n",
    "print(\"Computed a domain with {} grids in x and {} grids in y\".format(Nx,Ny))\n",
    "print(\"The simulation has {} grids per free space wavelength\".format(int(lambda0/dl/simulation.L0)))\n",
    "\n",
    "# plot the permittivity distribution\n",
    "simulation.plt_eps(outline=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`Simulation` objects are used for running the actual FDFD simulations and we define our optimizations over them.\n",
    "\n",
    "## Sources and Probes\n",
    "\n",
    "With our simulation defined, we may now define the modal profiles of our input and output ports.  \n",
    "\n",
    "We will first add a modal source to our simulation corresponding to the port on the left.\n",
    "\n",
    "Then, we'll create two temporary simulations that are identical to the original, add modal sources for the top and bottom ports, and use these to get numpy arrays corresponding to the top and bottom probes of the device.  While in the code we are labelling these `J_top` and `J_bot`, in the paper, these are called $\\mathbf{m}_{t}$ and $\\mathbf{m}_b$ respectively"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set the input waveguide modal source\n",
    "simulation.add_mode(neff=np.sqrt(eps_m), direction_normal='x', center=[NPML[0]+int(l/2/dl), ny], width=int(H/2/dl), scale=source_amp)\n",
    "simulation.setup_modes()\n",
    "\n",
    "J_list = []\n",
    "\n",
    "for i in range(N):\n",
    "    sim_tmp = Simulation(omega, eps_r, dl, NPML, 'Ez')\n",
    "    y = (float(i)-float(N-1)/2.0)*d\n",
    "    y_index = int(y/dl + ny)\n",
    "    sim_tmp.add_mode(neff=np.sqrt(eps_m), direction_normal='x', center=[-NPML[0]-int(l/2/dl), y_index], width=int(2*w/dl))\n",
    "    sim_tmp.setup_modes()\n",
    "    J_tmp = np.abs(sim_tmp.src)\n",
    "    J_list.append(J_tmp)\n",
    "    plt.plot(J_tmp[-NPML[0]-int(l/2/dl), :])\n",
    "plt.xlabel('position (grid)')\n",
    "plt.ylabel('output mode profile')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can use `J_top` and `J_bot` as probes in our objective function.  We'll no longer need the `top` and `bot` Simulations.\n",
    "\n",
    "We can plot solve the simulation for the electric and magnetic fields and then plot the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set source and solve for electromagnetic fields\n",
    "(Hx, Hy, Ez) = simulation.solve_fields()\n",
    "simulation.plt_abs(outline=True, cbar=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Normalizing\n",
    "\n",
    "As an optional step, we'll normalize the modal amplitudes such that $|J^T E|^2 = 1$ for perfect transmission to the port corresponding to $J$.\n",
    "\n",
    "To do this, we'll make another temporary simulation with just a straight waveguide of the same source as our original three port.\n",
    "\n",
    "We'll then compute $|J^T E|^2$ for the output port, and normalize `J_in` and `J_out` using this. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "computed a scale of 2.0926206014542674e-18\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute straight line simulation\n",
    "eps_r_wg, _ = two_port(L, H, w, l, spc, dl, NPML, eps_start=eps_m)\n",
    "(Nx_wg, Ny_wg) = eps_r_wg.shape\n",
    "nx_wg, ny_wg = int(Nx_wg/2), int(Ny_wg/2)            # halfway grid points     \n",
    "simulation_wg = Simulation(omega, eps_r_wg, dl, NPML, 'Ez')\n",
    "simulation_wg.add_mode(np.sqrt(eps_m), 'x', [NPML[0]+int(l/2/dl), ny_wg], int(Ny/3), scale=source_amp)\n",
    "simulation_wg.setup_modes()\n",
    "\n",
    "# compute normalization\n",
    "sim_out = Simulation(omega, eps_r_wg, dl, NPML, 'Ez')\n",
    "sim_out.add_mode(np.sqrt(eps_m), 'x', [-NPML[0]-int(l/2/dl), ny], int(Ny/3))\n",
    "sim_out.setup_modes()\n",
    "J_out = np.abs(sim_out.src)\n",
    "(_, _, Ez_wg) = simulation_wg.solve_fields()\n",
    "SCALE = np.sum(np.square(np.abs(Ez_wg*J_out)))\n",
    "J_out = J_out\n",
    "print('computed a scale of {}'.format(SCALE))\n",
    "\n",
    "simulation_wg.plt_abs(outline=True, cbar=True);\n",
    "\n",
    "for i in range(N):\n",
    "    J_list[i] /= np.sqrt(SCALE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Changing the design region\n",
    "\n",
    "Optionally, we can also change the design region to several different styles before optimization.  \n",
    "\n",
    "Here we'll use `random_sym` which randomly assigns each pixel within the design region betwee 1 and the maximum permittivity.  \n",
    "\n",
    "This is mirrored across y=0.\n",
    "\n",
    "Making it symmetric leads to more symmetric final devices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# changes design region. 'style' can be one of {'full', 'empty', 'halfway', 'random', 'random_sym'}.\n",
    "simulation.init_design_region(design_region, eps_m, style='random_sym')\n",
    "simulation.plt_eps(outline=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining Objective Functions\n",
    "\n",
    "Now is one of the most important steps: defining the objective function for optimization / inverse design.\n",
    "\n",
    "To do this, we define a function `J` which takes in the linear fields as the first argument and the nonlinear fields as a second argument.\n",
    "\n",
    "Until we make this more flexible, if your problem is linear, you still need the nonlinear fields argument, but you dont have to use it within the body of the function. \n",
    "\n",
    "We require that you define your numpy operations within J using the autograd wrapper for numpy.\n",
    "\n",
    "This allows us to automatically compute the partial derivatives of $J$ w.r.t. $E$ and $E_{nl}$, which are used in the adjoint.  \n",
    "\n",
    "This is super helpful when you define complicated objective functions and dont feel like computing these by hand!\n",
    "\n",
    "Below is an example of an objective function where the top and bottom port transmissions are directly multiplied.\n",
    "\n",
    "`angler` will try to maximize `J` w.r.t the permittivity in the design region.  Since we're multiplying the transmissions here, a highest possible value of `J = 1` will occur when each port is at 50% transmission, which is what we want."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define objective function  (equal power transmission to bottom and top)\n",
    "import autograd.numpy as npa\n",
    "from angler.objective import Objective, obj_arg\n",
    "\n",
    "arg1 = obj_arg('ez', component='Ez', nl=False)\n",
    "\n",
    "def J(ez):\n",
    "    objfn = 1.0\n",
    "    for i in range(N):\n",
    "        transmit_i = npa.sum(npa.square(npa.abs(ez*J_list[i])))\n",
    "        objfn *= N * transmit_i\n",
    "    return objfn\n",
    "\n",
    "objective = Objective(J, arg_list=[arg1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the Optimization\n",
    "\n",
    "Now we are ready to define the `Optimization`, which will perform the inverse design on top of our `simulation`.  \n",
    "\n",
    "We give the optimization our objective function, simulation object, design region, and specify the maximum permittivity to allow.\n",
    "\n",
    "Also, we pass in some optional arguments that define the filtering and projection that are used to create smooth feature sizes.\n",
    "\n",
    "`R` controls the minimum feature size.  \n",
    "`beta` controls how strongly to bias the permittivitiy to be either air or material.\n",
    "\n",
    "See the supplementary information of our paper (coming soon) for more details.\n",
    "\n",
    "The `Optimization` object takes a little bit of time to initialize because we need to set up the spatial filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 99% (569 of 571) |##################### | Elapsed Time: 0:24:33 ETA:   0:00:04"
     ]
    }
   ],
   "source": [
    "# make optimization object\n",
    "R = 14          # filter radius of curvature (pixels)  (takes a while to set up as R > 5-10)\n",
    "beta = 500     # projection strength\n",
    "eta = 0.50      # projection halfway\n",
    "\n",
    "optimization = Optimization(objective=objective, simulation=simulation, design_region=design_region, eps_m=eps_m, R=R, beta=beta, eta=eta)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checking Adjoint Derivatives\n",
    "\n",
    "We allow users to check that their adjoint derivatives match finite difference numerical derivatives.\n",
    "\n",
    "This is good practice to make sure things are working correctly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "adjoint gradient   = [-4.94878230763086e-07, -4.0745461513081923e-07, 1.1771126384315416e-07, -2.155498820322878e-06, 3.4886649182265794e-07]\n",
      "numerical gradient = [-4.949486963654021e-07, -4.080171578291263e-07, 1.1771577734945245e-07, -2.1556295998344686e-06, 3.486902529943806e-07]\n"
     ]
    }
   ],
   "source": [
    "# check the derivatives (note, full derivatives are checked, linear and nonlinear no longer separate)\n",
    "(grad_avm, grad_num) = optimization.check_deriv(Npts=5, d_rho=5e-4)\n",
    "print('adjoint gradient   = {}\\nnumerical gradient = {}'.format(grad_avm, grad_num))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running the Optimization\n",
    "\n",
    "Finally, we can run the optimization / inverse design.\n",
    "\n",
    "To do this, we simply call `Optimization.run()` with some parameters.\n",
    "\n",
    "You can try out different optimization methods and parameters, for more info, check out `angler/optimization.py`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " ObjectiveFn:  0.935 Iteration:  399/400 ETA:   0:00:06                        "
     ]
    }
   ],
   "source": [
    "# run optimization for 400 steps\n",
    "new_eps = optimization.run(method='lbfgs', Nsteps=400)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting Results\n",
    "\n",
    "Optimization objects have methods for visualizing the results of the run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x216 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the objective function end structure and fields\n",
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(20,3))\n",
    "\n",
    "simulation.plt_eps(ax=ax1, outline=False)\n",
    "ax1.set_title('final permittivity distribution')\n",
    "\n",
    "optimization.plt_objs(ax=ax2)\n",
    "ax2.set_yscale('linear')\n",
    "\n",
    "(_,_,Ez) = simulation.solve_fields()\n",
    "simulation.plt_abs(ax=ax3, vmax=None)\n",
    "ax1.set_title('linear field')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we can measure power transmission of our final `simulation`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        -> linear transmission (port 0)        = 25.14 %\n",
      "        -> linear transmission (port 1)        = 24.78 %\n",
      "        -> linear transmission (port 2)        = 24.82 %\n",
      "        -> linear transmission (port 3)        = 25.16 %\n",
      "total transmission =  99.89789367325766\n"
     ]
    }
   ],
   "source": [
    "# plot transmission characteristics\n",
    "W_in = simulation.W_in   # input power (W/um)\n",
    "W_list = []\n",
    "total_transmit = 0.0\n",
    "\n",
    "for i in range(N):\n",
    "    y = (float(i)-float(N-1)/2.0)*d\n",
    "    y_index = int(y/dl + ny)    \n",
    "    W_i_lin = simulation.flux_probe('x', [-NPML[0]-int(l/2/dl), y_index], int(d/dl))\n",
    "    W_list.append(W_i_lin)\n",
    "    total_transmit += W_i_lin / W_in * 100\n",
    "    print('        -> linear transmission (port {})        = {:.2f} %'.format(i, W_i_lin / W_in * 100))\n",
    "print('total transmission = ', total_transmit)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "This was a simple demo of a linear problem.  \n",
    "\n",
    "For more functionality, please check out our other notebooks!\n",
    "\n",
    "And if you have a question, feature request, or want to contribute, feel free to reach out on Github."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADDCAYAAAB08iFuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzt3Xl8VNXZwPHfmSXJJJOEAFmMhARiAAEBAUG0CFILVC1ibRUVVKhSRIuvtuJbsS9WxQU3Wm1VFAFBCyriimixIiDIvm8SICRKdhKyZ7bz/pHMNJBlblZJ8nw/n/kkmbnn3jNw57nPnHsWpbVGCCFE62T6qSsghBCi4SSICyFEKyZBXAghWjEJ4kII0YpJEBdCiFZMgrgQQrRiEsTbAaWURSn1tVJqo1LqfqXUuAbsI6M56lbLsQYopf6v8vfrlVKxlb9PVUpZq75eS/kPKn9epJS6omVqLcRPQ0k/8bZPKdUVWKm1HtSIfWRorWOasFpGj7sWmKa1PqSUSgF6aa3LDJZ9FMjQWr/afDUU4qdl+akrIFrEq0CSUuo1IB3IAA4BDwEOoDuwTGs9RynVF3gBMAOdgbu11htr2qlS6hiwGUgE9gF3AqHAAqBT5WYztNZ7lVInKo95AIgAnEA8EAgsA34FdAWuA+KAacASYADwllJqARADLFNKzat8/R3geq315Mr67ADGAnuAQcAdgKPy+Ze11kMqt1sOPK+13tLQf1AhzhXSnNI+TAcOaK1/f9bz8cANwKXAzMrn+gB/1Fr/HHgGmFzHfrsAf6kMjnZgPPAw8JXW+kpgKvBK5bZxwC1a6/sr/07RWo8GDgLdtNZXAyuoCOYAaK0/A3YBt2mtX6Pi4jOhyvE/A4YppUKUUpcAx7TWWZVlfwQWAS9UButSpVRvpVTHyuNJABdtgmTi7dterbULcCmlSiuf+xH4S+XfoUBBHeVTtdbJlb9vBHoCFwGjlFI3VT7fsfJnjtY6t0rZHZU/86nI0AHygCCjlddau5VS7wO/BoYBr9ex+etUZOapwFKjxxDiXCeZePtW0w2RvwOztda3A3sBVUf585VS3nbyy4H9VATkF7XWI4Eb+W/A9Bg4dk08/Pc8rfq71wJgEjAU+HcdZd8HRgPXI0FctCESxMXZlgLvKaXWAz2A2Dq2LQdeVkptBk4CnwBzgBsrb0iupqKtvDE2UtEm3hFYD6yiyoVFa3288tePtNZnXyi2A/cqpa6svBm6DsjSWp9qZJ2EOGdI7xTRYD9Vj5WGUkr9A1ihtf7PT10XIZqKZOKiXVBKfQlESAAXbY1k4kII0YpJJi6EEK2YBHEhhGjF6tVPvHPnzjohIaGZqiKEEP5t3749R2sd2VLHU0r5a3P+Qms9tkUqU4N6BfGEhAS2bdvWXHURQgi/KqdwaOlj1vqa1rpzC1alGhmxKYQQfvgJ4i1Yk+okiAshRB2UUpjN5lpf93jOHmPWsiSICyGEH3Vl4j81CeJCCOGHyXTuduSTIC6EEHVQSkkQF0KI1kyCuBBCtGISxIUQopVSSsmNTSGEaM0kExdCiFZMgrgQQrRS0jtFCCFaOQniQgjRismNTSGEaKX8zZ3yU5MgLoQQfkgmLoQQrZTc2BRCiFZOMnEhhGjFpE1cCCFaKWlOEUKIVk6aU4QQopWSLoZCCNHKSSYuhBCtmGTiQgjRSsmNTSGEaOUkiAshRCslNzaFEKKVk0xcCCFaqcZm4kqpHUBB5Z/HtdaTm6RilSSICyGEHw3tYqiUCgKU1npkk1aoinP3O4IQQpwDvJl4bQ8/+gPBSqkvlVL/UUpd2tT1k0xcCCH88JOJd1ZKbavy93yt9fzK30uA54A3gCTgc6VUT621q6nqJkFcCCH88JNx52itB9fy2vdAstZaA98rpXKB84C0pqqbBHEhhKhDI29sTgEuAqYrpWKBMCC9qeoGEsSFEMKvRsydsgBYpJTaAGhgSlM2pYAEcSGEqFNjMnGttQO4pWlrdCYJ4kII4YfMYiiEEK2UDLsXQohW7lwedn/u1kw0i5ycHC644AI6dOhAQkIC06dPJysrC4/HU2e5jIwMzj//fJRShh7dunWrdV9lZWUkJiZiMplqLR8QEEBiYiKnTp2ioneWcVprCgsL+fjjj9mxY0et26WmptKxY8czjhsYGFivY4m2r5GDfZqdBPF2JDMzk+joaI4ePcrp06c5ceIEr7zyCjExMYSHh7N48WJfwNRa4/F4cDqdPPjgg8TFxXHy5EnDx0pJSaG0tLTa8xkZGYSFhXHs2LE6g7PT6SQlJYUVK1b4vcB46+tyudi+fTu9e/cmOjqa8ePHc/nll9d4kXK73fzud78jLy/vjOcdDofBdyjaE5PJVOujKSilAhpctyapgWgVTp06VeMNGq01breb+fPnc/z4cXJzc8nLy6OgoICTJ0+yf/9+Q4G0KpPJVC2r1Vpz9dVX43Q6/ZZXShEdHc0tt9xiONtxuVxcf/31fP/995SWlvrel8tVvUeXyWTi3nvvxWI5s0XxXMisxLmnrm+dTWSbUmqeUqpvfQtKm3g7snPnzhqDscViISwsjNLSUv7xj3+Qk5NDXFwcV155JeXl5URGRhIaGkphYaHhYB4UFFQt0y4pKWHXrl21llFKYbfbSUhIICIigrfffhubzWboeFprDh8+THp6+hl1dLlcvPDCCzzxxBMEBgae8aHr1KkTYWFhnDp1yvfc9u3bDR1PtB8ttLLPAGAsMFspFQksBZZprYv8FZQg3o4cPXq02nMmk4nIyEjGjh2L1prNmzeTkpLCxRdfTHFxMZ06deKOO+5g3LhxfPjhhyxfvtxQJt21a9czAqbWmi+++KLWJhSLxcLQoUOZPn06V199NTabDavVaujDo7UmNzeXJ598stpFRmvNP//5T3r27MnEiRMJCgoCKppNQkJCuOmmm1iyZAmlpaUEBATQv39/v8cT7U9zdzHUWnuUUp9TMSDoTuAPwGSl1L+01i/XWbf63DQaPHiw3rZtm/8NxTmnrKyMkSNHsnXrVgDi4uJYvnw53bt3JyAgAI/Hw5YtW5g8eTKFhYUEBARgt9sZMmQIM2bM4OKLLyY/P58//elPvP/++7jd7lqPpZSiT58+7Nq1yxeES0pKuOCCC8jIyKi2vclkYtKkSTz77LOEhYVhsVgwmUxorQ19ZS0uLmbgwIEcP368zgtMaGgoo0aNol+/fgwbNozevXsTFhZGWVkZYWFhhISEGPmnFD8xpdT2OuYqaXIdO3bUY8aMqfX1ZcuWNbo+Sqm5wHXAN8AbWustSikTsF1rfXFdZSUTbyc2bdpEZmYmNpuN0NBQFi5cyCWXXHJGpjtq1CgGDBhAcnIynTp1wmw2U1RUxBtvvMEzzzyDyWTilltu4YsvvvA1rdSUBGitycjI8AVUt9vNU089RWZmZo11i4+P57nnnvP1FPGW8Xg8WCyWOoO41prTp0+TlZVVY9t3VYWFhaxatYrNmzdz0UUXobX2/XtIW7ioTQs1p3wPDPI2nyilOmit85VS1/srKEG8HXC5XLz66qsEBATQqVMnRo4cyWWXXVbtxLRYLIwePZqioiIiIiKIiIjAbrdTWFjI6dOnyc3N5c0336S8vLzWAO516tQppk+fTmhoKB9//DFpaWm1bj9kyBA6duzoq4/WGqfTSW5uLna7naCgIF8zSFVut5vCwkJWrlyJw+Ew1BXR6XRSVFRE//79iYqK8vUwOJdH5ImfXnMFcaVUDBWTYt0JfKMqTkQT8BYwRGud4m8fEsTbOJfLxdKlS/nxxx+JjY2ld+/e3HTTTVit1mrbKqUYOXIke/fuZceOHaSlpTFs2DBGjBjBpk2bWLVqFWvXrq2x6+DZPB4PCxcuNFTHhx56qFoQ/eabb3j44Yex2+1ERETw3HPP0bVrV1/GnJ6ezt///ndWr15NWlqaoTp532NgYCB2u93vhUgIaPZM/FLgPqAn4J2D3AN8YXQHEsTbKK01JSUl/PWvf+W9997DarUyefJk7rjjDjp37lzjSeltXkhNTfXdBC0tLWXgwIG88cYbbNmyxdBNzfrq3LmzL5i63W6KioqYPn06KSkpvnp98skn2O12OnToQEFBAUVFRXW2y9dEKUVISAizZs2iY8eOvrb3c3k0njg3NNc3Na31h8CHSqmrtdarGrIPCeJtkNaa4uJiHn/8cV5++WXKy8vp1q0bt956K9HR0bUGLaUU6enpHDlyhICAAAIDA3E6nXz44Yfs2bOnWQK42Wxm8+bNpKenc+DAAfbs2cPWrVurHcs7CrOwsLDexwgICGDatGn88Y9/5LzzzvPbzi7E2ZqxOeURrfUTwCSl1MSqr2mtDc1+KEG8jTKbzURGRvqaHwYMGFBnAPfq0qULV155JQUFBURERJCXl4fb7a531lsfM2fOxOFwUFxcTElJSZNeLOx2O0eOHCE6OloCt2iwZjx3Pqn8+WpDdyBBvI0KCAjglltuYdOmTXz11VeMHTu22ujEmpw6dYrRo0ezefNmBgwYgN1uJzIyEqUUH330UZO2ISul8Hg8pKSkNEvbtNls5pNPPiEmJsZwGW89qn5oJfi3b83ZJq613l356/PAm8BSrXVBffYhQbwN8k7YExMTw6uvvkpKSgq9e/c21I2uR48eJCcnM2rUKHr37k2HDh0wmUy8+OKLWCwWPvjgg3oPwT+b2WxGKeWbn6U5ArhSiqSkJC677LJ6lSsuLmbOnDm89957hIaG8vzzzzd53UTr0wIX8muAScBXSqn9wOta62+NFJQg3oaZTCY6d+5MRESE4X7Q4eHhjB8/3td8EhAQgNVqpUOHDrz99tt8/vnn3HDDDQ1uXjGbzSQlJdG7d29+/PFHMjIySE1NbfJAHhcXx3vvvUdAgPF5hbwjPw8cOMDp06e56aabuOKKK5q0XqJ1au6b31rrTOA5pdS7wFwqmlk6GikrQbyNU0oZakapun3V+UqqZiABAQFcd911lJSUMG/ePFavXk1BQQHdu3fn/fffNxSIH3/8cf70pz/5bi5qrdmyZQtjxozh9OnTtZYzmUyEhIRgs9nIy8urs928W7du7Ny5E7vdbvBd/1dcXBwfffTRGc9JN8RzS0s3bzXxRFe1HeM24HbATEWzymSjZaVvlajG3wxtAQEBvuH3jz/+eL3anG+99VasVqtv30ophg4dSnZ2NsnJyfzv//4v/fv3x263ExwcTExMDMOHD2fHjh1kZGRw4sQJdu/ezZgxY2qsn91u5/PPP2/QKMwWGpknWqHmnooW6A/co7UeqbV+S2ttbOADkom3OzXduGsIk8lEQEAAhw4dYv/+/Yaz1Y4da/6GaLVaSUxM5KmnnuLJJ5+koKAAk8mEzWbztaF79erVi08++YS9e/dyzz33cPjwYd/8J3PmzCE2NlZuRoom1YxdDK/VWn9KxbD7K5RSvvY7rfX82kv+lwTxdsTj8VBaWsqxY8dIS0uje/fuxMbG+ibA8o5mNPL10ePxkJmZyfLly6nPpGhGmnaUUoSHh9f5utVqpV+/fjzxxBP861//okuXLkyYMIGkpKQW+for2o9mPp86Vf48++us4TY8CeLtSGlpKePHj+ebb77xTRZVdVmy6Oho3nnnHS666CICAwPrDLilpaU88MADbNu2rV43OVNTU+nRo0ej3wtUZEeXXnopPXr0wOFwnDEsX4im1IxdDBdX/uquHPQDgFLqKaP7kAbAdsRkMrF//36cTidaa18XP7fbTUlJCcePH2fEiBGMGDGC119/vdabhx6Ph6uuuopPPvmk3r1U6tvlzx+z2UxISAhhYWGSfYtm01wr+yilfqeU2gT8SSm1sfLxHVD73LdnkSDejthsNoYPH17nNg6Hg+3btzN9+nS6du1a4zD39evX89133zWo10Zubi6RkZGN6vHhcrkoLCykpKSE/fv3c8stt/DHP/6R77//XnqSiCbnveHdTDc2lwI3A+9W/rwZ+C0wzOgOJIi3M/PmzTN84mVkZPC3v/3NNyDH+/jyyy+rZSD1yUxycnJISkoyHHA9Ho+vDi6Xi6ysLO655x5ef/11pk2bxrp161i1ahUvvvgi5eXlEshFk2tsJq6UilJKpSmlelV9XmtdXjndrENrfaLykQa8brRuEsTbmZiYGG6//XbD2z/++ONkZWX5gqM3iFa9EJhMJpKSkpg5cybvv/++oSaTo0ePEhISQn5+fq3beDweysvLSUlJobi4GJfLRUFBAd999x2nTp3iq6++Yt++fZSVlVFQUEB6errh9yVEfZjN5lof/iilrMBrQLVug0qpe5RS6cCdSqmTSql0pVQGcL7RusmNzXZGKcW8efNYuXJlnQHUy+FwsGLFCiZOnIjJZMLhcFBUVERQUBBlZWWYTCZ69erFli1bfD1bxo0bx6hRo1i/fn2d+y4tLSUiIoKdO3dy4YUXYrFYcDqd5Ofnk5WVxZYtW9i5cyfHjh3jmmuu4bbbbsNkMjF06FB69erFpk2b2LdvH2lpaQAcPHiwXgObhDCiCcYPPEfFBFd/PvsFrfU/gH8opR7WWj/ZkJ3LGd8OhYWFcfDgQeLj43E4HHVuq5QiLy+P0tJSbDYbZWVl7N69G6vVSnx8PGPHjmXGjBlnrLxjsVhYu3YtVqvV0DwrF198MTabjSuuuIL8/HwOHDiA0+nE7XYTGhpKeHg4o0ePJigoCKvVSnh4OLGxsfTs2ZMrr7yS2bNns2XLFkJDQ3G5XNJDRTQ5P80mnZVSVfvZzvf28VZK3QFka62/UEpVC+JV+onnKqWmVn1N+om3Uy6Xy1A2GhMTQ2lpKVlZWbzwwgssXLiQ3NxcX3uyxWIhLi6OJ554gmuuuQa73Y7W2tc/e/DgwcycOZMePXrUOD+JyWSipKSEkJAQQz1YSktL+fLLLzGZTL72b++w/Dlz5nDjjTdWC85ms5nu3bvz1ltv4XA4OHr0KC6Xi8DAQIP/WkIY4ycTz6ljoeQpgFZKXQUMAN5SSo3TWntXDJd+4uJMmzZt4vLLLzf09c9kMhETE8PcuXN55plncDqdTJ06FavVyqxZs4iLi/PtxxtQAwMDueOOO0hKSiIuLq7GZd68AgMD6d27N3v37jVUd2+XR6gI0J06dWLOnDn89re/rTO7VkoREBBA9+7dfYtBSzYumkpjuhJqrX0jMJVSa4FpVQJ41X7ic4DeQPXFZP2QIN7GvPTSS+Tn5zN8+HBsNhtWq9VQQPcGwkWLFvmy4Jq2CQwM5Gc/+xmBgYHVhsPXZMaMGdx1112G6+899vnnn8/kyZOZOHFivdq5MzIyiIqKIigoqN4fPKfTWedFSbRfLTCnzmdAAOC9UaWBXxspKEG8jVm3bh2rV6/mggsuIDQ0lPvuu49x48bVeybDul4zm821BvqzDRgwwPBxq7rgggsYPny44alkPR4PDoeDBQsW0K1bNyZNmkRsbKzhD5/Wmn//+99ccsklREZGNqjOou1qioFkWuuRdbwcpLUe0ZD9ShBvY1wuF6WlpRw6dAiHw8F3333H0KFDWblyJR07dmz0yWg0eHs1ZIi91poffviB+Ph4Q8fSWrNr1y6ee+45VqxYgdaa559/nt///vf8z//8D506dfIbzJ1OJ5MnTyY7OxuomKgrJycHkJV92jtv4tLM1imlxgAHvU9orVONFJR+4m1MUFAQbrebsrIy3G43DoeDDRs28MADDzR6RR7vYJ/6DKix2WwNmtf72LFjhvt95+XlMXnyZJYvX47T6cTlcpGbm8uTTz5JVFQUISEhzJw5k5KSkmpltdaUlJRwxx13kJWV5XuPubm5MjWt8GmBqWijgXnA8srHMsN1a6oaiHODt6mjapDVWjN8+PAmycKdTifJyckcP37cUK8Ts9nMxIkT/W53NpfLxebNm/1eeLTWvotWbReWsrIynn/+eQYPHsyRI0d8+9Ra43A4+Oqrr/jiiy9qLDtmjOEpLEQb1lxzp1TRS2t9odZ6WOXD8CRDEsTbmLy8vBqf/+Uvf9norMHhcLBlyxaeeuop/vznP5OcnOw3kJtMJp599tkGZePPP/88P/74Y63H8E7eZbPZ+PnPf+5bLai2bQ8ePMiIESPIyMjwlc3Ly+PLL7/E6XSeUdZms6G15vPPP693vUXb0sxzp3jtUUpdqpQKVEoFKKUMrysobeJtTFFRUY3PFxcXN3rfWmuWLFnC559/jsvlIiUlhXnz5jF8+PA6T2a73c7333/P+PHj2bJli+Hj5efn8+2333Lttddit9trnK/FbDZjs9l4/PHHiY6O5ocffuDdd9+tceIugPLycg4dOuTrhpiRkeFbgMJisXDjjTfy1ltvnfF+ZC6Wc8tPcY+iBY55BRWLJWtAVf7sbqSgZOJtTF1NCo3dr8PhYPfu3ZSWluJwONi3bx+33347e/bs8Vv+vPPOY9OmTUydOpWQkBBDHwqr1UqfPn1q7Vnj/Trr7VM+e/ZsXnvtNZKTk+nfv3+Nx8jLy2PSpEksXbqUkydPUl5eTu/evbn00kv59a9/zZIlS6QdXFTTApn4XK11N611d+9Pw3VrqhqIn97mzZtrfa1bt24N3q/b7eb06dPMmDGDEydO+C4ULpeLEydOcMUVVxhqHzeZTLz22msUFRXhcrnYuHEjoaGhNW6blJTE/v37ueiii7DZbH6DftWAHhUVxa5duyguLubZZ589YzutNenp6Tz99NMcP36cXr16MWPGDD766COWLVsmPVFENS3UnGJ8MMVZJIi3IXXNHtjQnilaa/Lz83n++edZvXo1ubm5NW5T35PZZDIxbNgw8vLyuOKKK3zt2SaTiaioKLZu3UqXLl0aFVRtNhszZsyo1j3M+63C7XYTGBjoewhRmxYI4oFKqZ1KqWVKqXeUUu8YLSht4m2Ed87t2mRlZdW5bmVttNYcPHiQTz/9lNzc3Boz7uDg4AYHW7PZzNq1a31TyZrNZuLj4w0P8vHHYrEQEBBQrfdKQUEBR44cYcyYMdJ8IurUQl1NH2powXoF8e3bt8vXzXNI1aDkbzDCyZMnSUpKatBxCgsLyc7OrrXJpGfPng3ar5d3YeSwsDDf302l6kAN736VUkRERDBkyBAJ4MKQFoh7O6gI5LHAp4D/G02V5AxuA7p3N3wPpN48Ho+vu11tgoODm+RYzbGquFIKh8NxxspE3vfSVNm+aPtaoDnlTeAYkARkAAsM162paiDaruYIrueCtvieRPNogcE+nbTWbwJOrfVG6hGbpU28DTh27FizBSSz2YzT6awz4ygtrbbqVIN4M+SmfC/e6XOdTqfvOe+Hr+pzQtSmheZOwbv+plKqC+AyWq5emfigQYOqfS2Vx0/3qMpfF7/Y2Nj6/Ff7aK2x2+1ER0fXeiIfOnSoQfuueoy8vDz27dvH4cOHKS8vb9T+zt531WH23r9PnTrF9u3bGz2fjGgfWiATnwEsBAYC7wN/NFpQMvE2wts+V1tQioqKatB+lVL07NmTcePG8cMPP5CTk4PLdWaSUFJSgtb1m93Qy+Vycfnll/sCqvemY3JyMuHh4Y3+kLjd7moTdiml6NixIz179sTtdmM2m+UGp6hVS/RO0VrvU0qNAxKB77XWp4yWlTO3DalrSHtDT0KlFGFhYcyYMYNrr72Wzp0717hNfTNaj8fD119/TYcOHdiyZQtut9uXJefm5jJw4EBSU1MbNeS9rKyMRYsWVbvoQMWqQ1arFYfDgcPhaNLsX7Q9jVnt3gil1HTgWyp6qGxSShmeNU6CeBsyaNCgWl87duxYg/drNpsJCwvjhRdeICEhwZcdWywW4uPjWbdunaGT2ePxcNdddxESEoLFYmHUqFG1zuly/Phx+vTpw44dO3yZ/tmqPudtKnG5XGRlZTFw4EBCQkKYOvWMtWcxmUwkJCTw2GOP0bVrV5KTk/nnP//JDTfcwM0339yoi4Zou1qgOeUuoJ/W+nrgYuA+owWlOaWN8a6FeTabzdbo/VqtVi6++GL27t2L0+mkT58+zJs3j379+vktn5mZyfjx4/nuu+8MH9PpdLJr1646+7d7s/fMzExeeOEFcnJy+OCDD2qdACsyMpJly5bRq1cvTCYTZWVlHDx4kG+//Zbi4mJuu+02Fi9eLM0rwqeFBvtk8t+bmaVA9aHRtZAg3sbY7fYaA1hT9eWeOHEi2dnZeDwe5syZQ1JSkt8TvKSkhKSkpFoDa23CwsIYOXJkrRNmeUeplpSUMHPmTJYvX+5rlqmJUoqgoCC6deuG3W5Ha01kZCRhYWG43W5cLhdLly5l6dKl2Gw23yIS0hVRtEAQNwG7lFIbqcjErd6h91rrW+oqKEG8jYmIiKgxWK5atYo777yzUSdjQEAAgwYN4s9//jMhISEkJib6bUbxeDw8/PDD9Q7gAHfffTcJCQm1HsO7UHNRUREbNmyose276rYDBgxgxYoVvuXatNaEh4czevRoFi9efEbwLy0tRSnFL37xi3rXW7QtLZSJz6ny+9v1KSjfGdsYl8tVY1vdunXrGt3e621SSUxMrDO4VuXxeFi0aFG9j2U2m7n00kv9fni884DXNdNhcHAwf/nLX1i/fj3x8fG+fXrfz/Dhwxk7dmyNZdesWVPvuou2p7nbxLXW39T28FdWgngbU1ZWhslkIjAwELPZjNVqZciQIbz44ouNzia8J21gYKDhk7e0tJTTp0/X+1jnn38+Xbt2NXThiYyMZNGiRdx4440EBARgsViIjo7mySefJC8vj8LCQmbPnl3jfQGlFMHBwbz55ptERUX53mPHjh3P6GMu2i/vYJ/m7J3SGNKc0saYTCaCgoKIj4/Hbrdzzz33cPPNN2O1Wptk/7XdOK3N8ePHG3ScmJgYkpOT6d27t99tTSYTgwcPZv78+URGRpKYmMiECROIjo42fLGxWq289tprDBs2jOjo6DNekx4r55af4h7FuXyjW4J4G3PZZZcxYcIERo8eTUhICFartd7ZQl0Dd7zd+CwWi6EBPnv37q3XsaHiQ5qamsrGjRsZM2aMoZ413m8fU6ZM4cILLyQoKKjex7366qtlUixRo+a+cCil+gKvABHAUmCf1vpTI2XP3cuLaJAZM2Zw00030alTJ4IvQSfwAAARaklEQVSCggwHcK015eXl3Hbbbdx1112+1eyrDvH3brN+/XpSUlJwOp1+s9QXX3yxQe8jKyuLBQsW8Oabb9Z5w/Ls99C5c+cGBWKllARwUaMWak75GzAZyKZiBsNHjRaUIN7GjBgxwvBXP7fbzY8//sj9999PZGQkNpuNJUuWsGDBAnr06EFSUhLvvPMOBQUFuN1u3G43ZWVlLFy4kEcffZRDhw7VOYmUw+Fg165d9aq/90Ph8XjIy8vjkUce4V//+ledc8NoXbFSz/Hjx4mIiJAugaLJNfTGplLKrJR6Uyn1rVJqQ2XGXSOtdXLFD50NGO7OJc0pbUxtiwqfLS0tjcTExFqDsMvl4vjx40yaNInZs2dz11130blzZ99iyVlZWezYsYPRo0dz//33k5CQcEZ5j8dDcHCwobU3oWIwkne5tiNHjvjmAAf4v//7P3Jycrj33nvPeH8ej4cTJ04we/ZsNm/ejN1uZ+PGjYaOJ4RRjZzF8FcAWuvLlVIjqehKeF0N251SSv0eCFFKTQDyjR5Agng7lJ+fT58+fQxNxaq1pmPHjr7BQjabjX79+vH5559z5MgRjh49ypo1a9i+fbuv14rL5WL06NGGA/ju3bvp2bMnFosFp9PJqVOnOHnyJJs2bWL37t2cOHECs9nsG35fUlJCQUEBmzdvZvbs2aSlpWE2m+nSpYvhi5gQ9eEn4+6slNpW5e/5Wuv5AFrrD5VS3rbteGoPzr8DHgZygMGVfxsiZ3w7o7Xm7rvvNjz4JiAggN/+9rcEBQX5FjMODQ2lvLzc18Ry6NAh+vXrx69//WuGDRvGs88+y7fffut338HBwWRkZJyx4r3ZbCY2NpbY2FgGDhyIw+EgNTWVmJgYbDYbhYWFbNmyhYULFwIVw/m97fY9e/b0zX0uTSqiKflposzRWg+u7UWttUsptRi4HvhNLZv9FXhda32gvnWTIN7OpKWl8e677xre/pFHHvH1nwZ8fbCr9p/2eDwkJyczd+5cwFiXvP79+7Nz5846g623u+QFF1wA/HdGxSFDhrBy5UoGDx5MZmYme/bsITg4mNjY2Da7CpH46TTFohBa69uVUg8Bm5VSvbXWZ8/8tgGYq5QKpWJe8eVaa0OrrciNzXbmD3/4g+EBLDExMdx///2+zNb7uPrqq6sF6toWq6jJ+eef7zeAV+WdK10phcViISoqipdffpkpU6bw6quvMnLkSK655hoeeOCBeg1EEsKoRtzYnKSU+nPlnyWAp/JxBq31Cq31tcAEYCyQbrRukom3Iy6Xi23btvndzmw2k5CQwJo1awgJCan2+iWXXILdbqeoqKjedTCZTKSmpjYq0FosFux2Ox6Phx49evDKK6/gdrvp0qWLBHDRLBox2OcDYKFSah1gBf6npgxbKdUVuB24gYqV739p9AASxNuRsrIyevToQXZ2tq/vtTebCAgIICoqinfeeYf+/fsTGBhY601Cm81GZmYmU6ZMYcWKFYb7cUPFCM6mGP1WNROyWq2+VYGEaGqNmQCrstnkRgObrgDeAK7QWhfU5xgSxNuR4OBgPvnkE44ePUpKSgpJSUnExsYSFBTka2IJCgoy9DXRZrPx7LPPkp2dzTfffGO4J8rZQ9obw+PxsH37dpYvX05sbCy/+c1v6N69e0vNOifakeZKEJRSXbTWPwATAQ3EKKViALTW3xvZhwTxdsRkMhESEkK/fv3o169fo05MpRSdO3dm0qRJhIaG8vHHHxtqDzcS7LXW5ObmYjabsdvtvl4xVV93u90cPnyY2bNns3v3bkpLS3nppZd4+umnuf7667Hb7ZKZiybTjOfSA5WPV896XgOjjOxA0pV2pqmm0NRa43Q6SUpKom/fvob3l59fczdZp9PJkSNHeOCBB+jVqxfx8fHExsYSExPDoEGD2Lx5M8XFxZSVlXH48GFuuOEG+vXrx3/+8x9yc3MpKSkhPT2de++9l4yMDJm0SjQZ7ze72h6NobV+oPLXF7TWV3ofVA/qtZJMXFTjDYC1BWan08nixYv59NNPOX36NAkJCYaD5rvvvsu9997rW9BBa83WrVu56qqrauy7XlZWxqlTpxg2bBghISEEBweTl5dX60ClwsJCxo4dy86dOwkJCalX1zB/71u0X83VPKeUuha4HLhZKTXMezgqRnUa6gssQbyN8zY9eIOmke1LS0txu92+m4beaWxdLhcbNmyo12jMsz344IMsWLCAPn368MMPP3Dy5ElSUlL8XgS01hQVFRnqEXPs2DH69evHZ599Rp8+fepVv7S0NO677z42btzI9OnTmTVrVpNN4ytar2a8sO8GOlGxrubhyuc8wDKjO5Ag3oZ5PB5yc3NJTU3lwgsvNLTOZn5+Ph9//DGhoaFcdNFFdOjQAbPZTGFhIQ899BDvvfdeoxZKcLlcHDx4kEOHDvkWXWiOpo/U1FR+85vfsHv3bsOzE3oXg+jbty8HDhzg008/ZdQoQ82Soo1rriCutU4DFiullmitfR8spdR5RvchbeJtkDf7zsjI4O677+aqq65i2bJlhrLngwcPorVmzZo1fP311/z73/9m165d3Hfffbz77rtNstKNd1Fi776a4wOitebIkSOGhv9XFRISwmOPPcbhw4fZunUrw4cPb/K6idalroE+TXjuPqqUylZKnVZKOQHD6wJKJt5GORwO3n77bb744gtKSkpYtWoVt956q9824k6dOrFmzRry8/MpKioiJycHrTXffPNNk2fMWmvMZjNdu3bF4XBQVFRESUmJoYm5jHC73fzqV7/iyJEjxMTEGPrA1bSN3CQ9t7TRlX3GAV2AF4EXgH8aLShBvI1yu91kZ2f7su+dO3eSkZFBXFxcnSdkWloaa9eupaSkhICAAIKCgkhKSmrWtQTnzp3LyZMn2bt3L3v27GHnzp1NFsiLi4uJj4/nzjvv5MEHH/TNdCg3L0V9tMD5kq61LldKhWqtk5VShlcokeaUNkgpRUhICLNnz+buu+8mLi4OgMWLF5ORkVFrgNRaExcXR48ePXA6nRQXF2M2mxk/fjx9+vRplht8breboUOHcu+99zJ//nw2bNjgu9hU/brqnT0xPj6eiIiIegVip9PJK6+8QmJiIhEREcydO5fS0tIzmnSEqE1zdjGs4gel1BSgWCn1FNDBaEEJ4m2UN5A/88wzzJo1i6ioKL788kseffRRNmzYUGPwUkpRXl5Ot27dSExMJDExkZ///OdYrVbuvPNOrrvuOsLDw5u8rrm5uWcMoY+IiGDevHlceOGFDBo0iF/84hccOHCA7Oxsjh49SlZWFmlpafz1r39l8ODBREREGPoweecinzt3LqdOnaKsrAyn0ymBXPjVAm3ivwe+Ah4ETgI3Gy0ozSltnMViYfLkyaxevZrdu3eTmppKcXExl112GYGBgdW2//bbbzl+/DjdunUjPDwci8XC+vXreeSRR+jbty9aa1atWkVZWVmdbcUmk4mbbrqJ4OBgVq9eTXp6eq3B8plnnuHtt98+4wMxduxYBg0ahN1uJyQkpNrCxzExMcyaNYv77ruP999/nz/84Q+UlJT4/ffwrhNaXFwsS7kJw5px2P3UGp4uB4YDB43sQzLxdsBisTBt2jScTie5ubl89dVXNWbjLpeLNWvWkJGRQW5uLsePHyclJQWLxUJ4eDgJCQnceeedBAUF+V14oUOHDixYsIC///3vHDx4kBkzZtS6/ZYtW8jLyztjKlur1UpMTAwRERG1rlxvMpkIDQ31rVJv5INmsVgIDQ1l9+7dZGdnN1sXR9G2NGNzynl1PIzVrbE1EK3D8OHDiYqKoqysjOzsbKZMmcK2bdvIycmhoKCA06dPs3HjRrZu3crJkyc5ePAgqamphIeHM3XqVN/Ur2+//bZv4eTagp93XhWr1YrNZsNut/PYY4/RqVOnGrdPSUnhwQcfJCcnB4fDgcfjwWw2Y7VajczXTGhoKJGRkX5vvtrtdsaMGcPvfvc739wqZWVl5OTkGMriRfvUnF0MtdZ/9T6Ab6mYR3wl8IzRfUhzSjsRFBTEtddey/bt29Fak5qaytChQzGZTJx33nmMGzcOgF69enHkyBEuueQSEhMT6dSpE263m7Vr17Jy5UqWL1/ut7+5t5961Wzdbrfzt7/9jVtvvbXa9h6PhyVLlpCcnMzdd9/NL3/5S4KCggxn18HBwaxbt45p06bVOBFXUFAQTz31FFOnTvXN0uhwONi/fz9PP/00S5cu9fXGkWAuatLcXQyVUk9S0cXwQiqaU/6MwXZxCeLtSFJSUrXnPB4PmZmZfPjhh8THx3PVVVfRrVs3unbtyogRI3A4HCxatIgVK1ZQUFBg+CZgenr6GcFUKcW4ceN886WczTukf9euXSQkJBAWFsY777xDly5d/H6AlFJERkYya9YsPv300zMuMkoppkyZwrRp085Y9cdqtVJYWMjy5ct9c7aUlpayb98++vbta+g9ivajBe6d/ExrfYVS6mut9WKl1N1GC0oQb0cGDhyIyWSqlkm7XC7y8/Pp1asXd911F2FhYUBF9lFQUOBrcqlPL46ysrJqz4WEhDBw4EC2b99eYxmtNYWFhezduxelFEOGDCE5ORm73e73eCaTib59+xIVFUVmZqavrmazmZkzZ9aY1aenp1NQcOb8+wMGDKjXIheifWiBIG5RSgUBWillBgxPTiRt4u1Ix44da8yCvWtXTp06lbi4ODp06EB4eDh2u53o6GguvPDCen+d9Hg8OByOasf57LPPDPU311qTnZ3NwoULDU+2ZbVa+eCDD+jWrZuv2cRkMtV4PI/Hw0svvVQtYDd0Yi/RdrVQP/EXgO1AX2Az8A+jBSWItyNRUVFkZWWRmJjo621yzz33kJmZyenTp5kwYcIZg2u8AfCpp57ixx9/5Pzzzzd8rG7dumGz2ao9Hx0dTWFhIUlJSXVmNxaLhbi4OCZMmGDog+K9EF166aUcOXKEzMxM3n33XdatW0dsbGy1fVgsFhYtWlSt37vRybJE+9IC/cRzgZ8B1wBjtdbvGK5bfbpXDR48WBtZaFcIIZqLUmq71npwSx2vb9+++oMPPqj19Z49eza6PkqpdVrrKxpSVtrEhRCiDk2ccddGK6VWUjGnuAdAa/2wkYISxIUQwo8WCOJvNrSgBHEhhPCjuYO41npxQ8tKEBdCCD/O5Tl2JIgLIUQdvD21zlXnbs2EEKKVU0pZlVJLlFLrlVJblFLjmvoYkokLIYQfjcjEJwK5WutJSqmOwC7g4yarGBLEhRCisTorpaoOoJmvtZ5f+ft7wPuVvyugyed0kCAuhBB++MnEc2ob7KO1LgJQSoVSEcwfafK6NfUOhRCiLWnsfOJKqTjga2BJfYbTGyWZuBBC+NHQLoZKqWjgS+BerfVXTVqpSpKJCyGEH42YxfBhIAL4i1JqbeWj+sxwjSCZuBBCNBOt9X3Afc15DAniQghRBxnsI4QQotlIJi6EEH6cy5m4BHEhhPBDJsASQohWTIK4EEK0Ui20sk+DSRAXQgg/JIgLIUQrJkFcCCFaMQniQgjRSp3rbeLnbudHIYQQfkkmLoQQfpzLmbgEcSGE8EOCuBBCtGISxIUQohU7l4O43NgUQohWTDJxIYSog3QxFEII0WwkExdCCD/O5UxcgrgQQvghQVwIIVoxCeJCCNGKnctBXG5sCiFEKyaZuBBC1OFc72IoQVwIIfw4l4O4NKcIIYQf3my8pofB8kOVUmubo26SiQshRDNSSs0EJgHFzbJ/rXV9KpMNnGiOigghhEHxWuvIljqYUmo10LmOTYKAsip/z9daz69S/gZgD7BEa31pk9evPkFcCCFE/SmlEoBlzRHEpU1cCCFaMQniQgjRikkQF0KIVkzaxIUQohWTTFwIIVoxCeJCCNGKSRAXQohWTIK4EEK0YhLEhRCiFZMgLoQQrZgEcSGEaMX+H2VNVyGjz5j3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax) = plt.subplots(1, 1, figsize=(10,3))\n",
    "\n",
    "simulation.plt_eps(ax=ax, outline=False)\n",
    "ax.set_title('final permittivity')\n",
    "plt.savefig('/users/twh/Desktop/test.eps', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 144x72 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax) = plt.subplots(1, 1, figsize=(2,1))\n",
    "\n",
    "optimization.plt_objs(ax=ax)\n",
    "ax.set_yscale('linear')\n",
    "ax.set_title('')\n",
    "ax.set_ylabel('objective')\n",
    "plt.savefig('/users/twh/Desktop/objfn.eps', dpi=300, bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax) = plt.subplots(1, 1, figsize=(10,3))\n",
    "(_,_,Ez) = simulation.solve_fields()\n",
    "simulation.plt_abs(ax=ax, vmax=None)\n",
    "ax.set_title('|Ez|')\n",
    "plt.savefig('/users/twh/Desktop/intensity.eps', dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.save('/users/twh/Desktop/eps_splitter4', simulation.eps_r, allow_pickle=True, fix_imports=True)\n",
    "J_in = np.abs(simulation.src)\n",
    "np.save('/users/twh/Desktop/J_in', J_in, allow_pickle=True, fix_imports=True)\n",
    "np.save('/users/twh/Desktop/J_list', J_list, allow_pickle=True, fix_imports=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
